-4(n+7)=3(n-5)+8

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Solution for -4(n+7)=3(n-5)+8 equation: 


Simplifying
-4(n + 7) = 3(n + -5) + 8

Reorder the terms:
-4(7 + n) = 3(n + -5) + 8
(7 * -4 + n * -4) = 3(n + -5) + 8
(-28 + -4n) = 3(n + -5) + 8

Reorder the terms:
-28 + -4n = 3(-5 + n) + 8
-28 + -4n = (-5 * 3 + n * 3) + 8
-28 + -4n = (-15 + 3n) + 8

Reorder the terms:
-28 + -4n = -15 + 8 + 3n

Combine like terms: -15 + 8 = -7
-28 + -4n = -7 + 3n

Solving
-28 + -4n = -7 + 3n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-3n' to each side of the equation.
-28 + -4n + -3n = -7 + 3n + -3n

Combine like terms: -4n + -3n = -7n
-28 + -7n = -7 + 3n + -3n

Combine like terms: 3n + -3n = 0
-28 + -7n = -7 + 0
-28 + -7n = -7

Add '28' to each side of the equation.
-28 + 28 + -7n = -7 + 28

Combine like terms: -28 + 28 = 0
0 + -7n = -7 + 28
-7n = -7 + 28

Combine like terms: -7 + 28 = 21
-7n = 21

Divide each side by '-7'.
n = -3

Simplifying
n = -3

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